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Sauron [17]
2 years ago
11

starting on the positive x axis and moving 1/3 of the way around the circle in 3 m radius, ow far will it go?

Mathematics
1 answer:
nlexa [21]2 years ago
7 0
You will move 1/3 of the circumference of the circle with a radius of 3m.

C=2πr  so C/3 is:

d=2πr/3, we are told that the radius is 3m so:

d=2π3/3

d=2π m

d≈6.28 m (to nearest hundredth of a meter)
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Dahlia is trying to decide which bank she should use for a loan she wants to take out. In either case, the principal of the loan
vovangra [49]

Answer:

  a.  Loan Q’s finance charge will be $83.73 greater than Loan P’s.

Step-by-step explanation:

<u>Loan P</u>

Monthly payments for a 9-year 5.8% loan for $19,450 are $231.59, so the total repaid is ...

  108 payments × $231.59 per payment = $25,011.72

Together with the service charge, the cost of the loan is ...

  $25,011.72 + 925.00 - 19,450 = $6,486.72

__

<u>Loan Q</u>

Monthly payments for a 10-year 5.5% loan for $19,450 are $211.08, so the total repaid is ...

  120 payments × $211.08 per payment = $25,329.60

Together with the service charge, the cost of the loan is ...

  $25,329.60 +690.85 -19,450 = $6,570.45

__

Difference of charges

The cost of Loan Q exceeds that of Loan P by ...

  $6,570.45 -6486.72 = $83.73 . . . . . matches choice A

_____

The payment values here were computed using a financial calculator. They can be found using the TVM Solver of a graphing calculator (TI-84), or by any spreadsheet. A number of web sites will also calculate loan payment values, or you can use the formula in your text to compute them yourself.

3 0
2 years ago
The rabbit population on a small island is observed to be given by the function P(t) = 130t − 0.3t^4 + 1100 where t is the time
Montano1993 [528]
The maximum occurs when the derivative of the function is equal to zero.
P(t)=-0.3t^{4}+130t+1100 \\ P'(t)=-1.2t^{3}+130 \\ 0=-1.2t^{3}+130 \\ 1.2t^{3}=130 \\ t^{3}= \frac{325}{3}  \\ t=4.76702
Then evaluate the function for that time to find the maximum population.
P(t)=-0.3t^{4}+130t \\ P(4.76702)=-0.3*4.76702^{4}+130*4.76702+1100 \\ P(4.76702)=1564.79201
Depending on the teacher, the "correct" answer will either be the exact decimal answer or the greatest integer of that value since you cannot have part of a rabbit.
7 0
2 years ago
A study of 25 graduates of four-year public colleges revealed the mean amount owed by a student in student loans was $55,051. Th
Kitty [74]

Answer:

a

   The  90%  confidence interval is  52561.13  <  \mu  < 57540.8

b

Confidence interval for the population men between <u>$52561.13</u>  up to <u>$57540.8</u>

Step-by-step explanation:

From the question we are told that

   The sample size is  n = 25

     The  sample mean is  \= x  =  \$ 55,051

     The standard deviation is  \sigma  =  \$ 7,568

Given that the confidence level is  90% then the level of confidence is mathematically represented as

             \alpha  =  100 -90

              \alpha  = 10\%

             \alpha  = 0.10

Next we obtain the critical value of \frac{\alpha }{2} from the normal distribution table the values is  

               Z_{\frac{\alpha }{2} } =  1.645

Generally the margin of error is mathematically  represented as

               E =  Z_{\frac{ \alpha }{2} } * \frac{ \sigma }{\sqrt{n} }

substituting values

               E =  1.645 * \frac{ 7568}{ \sqrt{ 25} }

             E =  2489.9

The 90% confidence interval is mathematically evaluated as

       \= x  -E  <  \mu  <  \= x  +E

substituting values

     55051  - 2489.8  <  \mu  <  55051  + 2489.8

     52561.13  <  \mu  < 57540.8

6 0
2 years ago
One year ago, Lindsey deposited $250 into a savings account. Her balance is now $253. Two years ago, Jenn deposited $250 into a
ipn [44]

Answer:

Jenn simple interest was 1.5% annually making Jenns account have the highest interest rate.

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
How many times larger is 4 x 1012 than 8 x 107? A) 2 x 104 B) 2 x 105 C) 5 x 104 D) 5 x 105
Tasya [4]
<span>4 x 101^2
------------- = 0.5 x 10^5 = 5 x 10^4
</span><span>8 x 10^7

answer is C.

</span><span>C) 5 x 10</span>^4
6 0
2 years ago
Read 2 more answers
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